The main stimulus for preparing this new edition was the lively development of the subject
since the publication of the first edition in 2011. I have tried to incorporate the new results as …

In this paper we present the main developments in Oka theory since the publication of my
book Stein Manifolds and Holomorphic Mappings (The Homotopy Principle in Complex …

In this paper we expose the impact of the fundamental discovery, made by Erik Andersen
and László Lempert in 1992, that the group generated by shears is dense in the group of …

1 Introduction Page 1 PROPER HOLOMORPHIC IMMERSIONS INTO STEIN MANIFOLDS
WITH THE DENSITY PROPERTY By FRANC FORSTNERIˇC Abstract. In this paper we prove …

Gizatullin surfaces completed by a zigzag of type $[[0, 0,-r_2,-r_3]] $ can be described by the
equations $ yu= xP (x) $, $ xv= uQ (u) $ and $ yv= P (x) Q (u) $ in $\mathbb {C}^ 4_ {x, y, u …

The density property for Calogero–Moser spaces Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 149, Number 10, October 2021, Pages 4207–4218 …

Let X be a Stein manifold of dimension n ≥ 2 n≥ 2 satisfying the volume density property
with respect to an exact holomorphic volume form. For example, X could be C^ n C n, any …

We prove closing lemmas for automorphisms of a Stein manifold with the density property
and for endomorphisms of an Oka–Stein manifold. In the former case, we need to impose a …

For the special linear group SL 2 (C) and for the singular quadratic Danielewski surface xy=
z 2 we give explicitly a finite number of complete polynomial vector fields that generate the …

We study the dynamics of a generic automorphism $ f $ of a Stein manifold with the density
property. Such manifolds include all linear algebraic groups. Even in the special case of …